Relevant bibliographies by topics / Soft -ideals (bi-ideal

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Academic literature on the topic 'Soft -ideals (bi-ideal'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Soft -ideals (bi-ideal"

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İlgin, Aleyna, Aslıhan Sezgin, and Thiti Gaketem. "Generalized Soft Union Bi-Ideals and Interior Ideals of Semigroups: Soft Union Bi-Interior Ideals of Semigroups." International Journal of Analysis and Applications 23 (June 26, 2025): 149. https://doi.org/10.28924/2291-8639-23-2025-149.

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Generalizing the ideals of an algebraic structure has shown to be both beneficial and interesting for mathematicians. In this context, the idea of the bi-interior ideal was introduced as a generalization of the bi-ideal and interior ideal of a semigroup. By introducing "soft union (S-uni) bi-interior ideals of semigroups", we apply this idea to semigroups and soft set theory in this study. Finding the relationships between S-uni bi-interior ideals and other specific kinds of S-uni ideals of a semigroup is the main aim of this study. Our results show that an S-uni bi-interior ideal is an S-uni
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Onur, Beyza, Aslıhan Sezgin, and Thiti Gaketem. "Soft Union Bi-quasi Ideals of Semigroup." International Journal of Analysis and Applications 23 (April 28, 2025): 100. https://doi.org/10.28924/2291-8639-23-2025-100.

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Mathematicians attach importance to extending ideals in algebraic structures. The concept of bi-quasi (ƁԚ) ideal was introduced as a generalization version of quasi-ideal, bi-ideal, and left (right) ideals in semigroups. This paper applies this concept to soft set theory and semigroups, introducing the notion of "Soft union (S-uni) ƁԚ ideal." The aim of this paper is to explore the relationships between S-uni ƁԚ ideals and other types of S-uni ideals in semigroups. It is shown that every S-uni bi-ideal, S-uni ideal, S-uni quasi-ideal, and S-uni interior ideal of an idempotent soft set are S-un
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3

Sezgin, Aslıhan, and Fatıma Zehra Kocakaya. "Soft Intersection Quasi-interior Ideals of Semigroups." Journal of Basic & Applied Sciences 21 (April 3, 2025): 101–18. https://doi.org/10.29169/1927-5129.2025.21.11.

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It has been shown that generalizing the ideals of an algebraic structure is both interesting and beneficial for mathematicians. In this context, the concept of quasi-interior (Ԛꟾ) ideal was introduced as a generalization of quasi-ideal and interior ideal of a semigroup. In this paper, we apply this concept to soft set theory and semigroups, introducing a new form of soft intersection (S-int) ideal called the "soft intersection (S-int) quasi-interior (Ԛꟾ) ideal." The main objective of this study is to investigate the relationships between S-int Ԛꟾ ideals and other specific types of S-int ideals
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S., Subramanaian, and Nalini D. "CHARACTERIZATION OF COMPLEX BI FUZZY SOFT SET ON REGULAR SEMI GROUP." International Journal of Advanced Trends in Engineering and Technology 3, no. 1 (2018): 159–63. https://doi.org/10.5281/zenodo.1285145.

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In this article, we define a new structure of complex bi fuzzy soft left ideals (resp., right) of a semi group S, Union and Intersection of ideals is again ideals. Also, we prove the set of all idempotent elements of S from a right zero semi group of S, then C(x) = C(y) for all idempotents elements of x and y of S. If C<sub>1</sub> and C<sub>2 </sub>be a complex bi fuzzy soft left and right ideals of a semi group S, respectively, then C<sub>1</sub> * C<sub>2</sub> &nbsp;C<sub>1</sub><sup> </sup>C<sub>2</sub><strong>.</strong> For every Complex bi fuzzy soft right ideal C<strong><sub>1</sub></s
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Sezgin, Aslıhan, Beyza Onur, and Aleyna İlgin. "Soft Intersection Almost Tri-ideals of Semigroups." SciNexuses 1 (November 24, 2024): 126–38. http://dx.doi.org/10.61356/j.scin.2024.1414.

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The notions of left (right) ideal and quasi-ideal of semigroup are generalized by the concept of tri-ideal. Likewise, the concepts of soft intersection left (right) ideal and soft intersection quasi-ideal of semigroups are generalized by the soft intersection tri-ideal. In this paper, we present and study the concept of soft intersection almost tri-ideal ideal as a further generalization of nonnull soft intersection tri-ideal. It is demonstrated that every idempotent soft intersection almost bi-ideal is a soft intersection almost tri-ideal, and vice versa. We also obtained that an idempotent s
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6

Muhiuddin, G., and Abdulaziz M. Alanazi. "(m, n)-Ideals in Semigroups Based on Int-Soft Sets." Journal of Mathematics 2021 (July 7, 2021): 1–10. http://dx.doi.org/10.1155/2021/5546596.

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Algebraic structures play a prominent role in mathematics with wide ranging applications in many disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, and topological spaces. This provides sufficient motivation to researchers to review various concepts and results from the realm of abstract algebra in the broader framework of fuzzy setting. In this paper, we introduce the notions of int-soft m , n -ideals, int-soft m , 0 -ideals, and int-soft 0 , n -ideals of semigroups by generalizing the concept of int-soft bi-ideals, int-soft r
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V., Chinnadurai, and Arulmozhi K. "ANTI FUZZY SOFT GAMMA REGULAR SEMIGROUPS." International Journal of Scientific Research and Modern Education 2, no. 1 (2017): 159–70. https://doi.org/10.5281/zenodo.810156.

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In this paper, we have introduce the notion of anti fuzzy soft -semigroups, anti fuzzy soft -ideal, bi-ideal, interior ideal-regular, soft-regular anti fuzzy soft-regular and obtain some interesting properties results and discusse in this paper
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8

A., Rajakumari, and Sivakumar S. "N-FUZZY SOFT SUBGROUPS OVER IDEAL STRUCTURES." International Journal of Applied and Advanced Scientific Research 3, no. 1 (2018): 165–68. https://doi.org/10.5281/zenodo.1193687.

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In this paper, we introduced the concept of N-fuzzy soft N&minus;fuzzy neutrosopic soft right ideal, N&minus;fuzzy neutrosopic soft (1, 2)&minus;ideal, N&minus;fuzzy neutrosopic soft bi-ideal of a group, N&minus;fuzzy neutrosopic soft subgroupoid and regular groupoid and its properties. An illustrative examples are also given.
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9

Mandal, Debabrata. "A Hesitant Intuitionistic Fuzzy Set Approach to Study Ideals of Semirings." International Journal of Fuzzy System Applications 10, no. 3 (2021): 1–17. http://dx.doi.org/10.4018/ijfsa.2021070101.

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The classical set theory was extended by the theory of fuzzy set and its several generalizations, for example, intuitionistic fuzzy set, interval valued fuzzy set, cubic set, hesitant fuzzy set, soft set, neutrosophic set, etc. In this paper, the author has combined the concepts of intuitionistic fuzzy set and hesitant fuzzy set to study the ideal theory of semirings. After the introduction and the priliminary of the paper, in Section 3, the author has defined hesitant intuitionistic fuzzy ideals and studied several properities of it using the basic operations intersection, homomorphism and ca
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Alharbi, Rehab, S. E. Abbas, E. El-Sanowsy, H. M. Khiamy, K. A. Aldwoah, and Ismail Ibedou. "New soft rough approximations via ideals and its applications." AIMS Mathematics 9, no. 4 (2024): 9884–910. http://dx.doi.org/10.3934/math.2024484.

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&lt;abstract&gt;&lt;p&gt;Theories of soft sets and rough sets are two different approaches to analyzing vagueness. A possible fusion of rough sets and soft sets was proposed in 2011. At this time the concept of soft rough sets was introduced, where parametrized subsets of a universal set are basic building blocks for lower and upper approximations of a subset. The main purpose of soft rough sets is to reduce the soft boundary region by increasing the lower approximation and decreasing the upper approximation. In this paper, we present two new approaches for soft rough sets that is related to t
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Conference papers on the topic "Soft -ideals (bi-ideal"

1

Kortright, J. B., T. D. Nguyen, and E. M. Gullikson. "Short wavelength (4.5–12.4 nm) multilayer reflectors." In OSA Annual Meeting. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.tuee5.

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X-ray multilayer structures offer high normal incidence reflectance in the extreme ultraviolet and soft x-ray range. The choice of materials for use in these structures depends largely on their optical properties, which change rapidly with wavelength. The bi-layer thickness or period of multilayers is directly proportional to λ, and is measured in nanometers. Molybdenum/silicon multilayers are efficient reflectors for λ &gt; 12.4 nm, with reflectance &gt; 50%. At shorter λ, absorption from the Si LII,III levels makes Si less ideal for use in multilayers. C and B have low absorption in this ran
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Cai, Qingjun, Chung-Lung Chen, Guangyong Xiong, and Zhifeng Ren. "Explorations of Carbon Nanotube Wick Structure for High Heat Flux Cooling." In ASME 2008 Heat Transfer Summer Conference collocated with the Fluids Engineering, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/ht2008-56208.

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Multiwall carbon nanotube (MCNT) has high thermal conductivity, nano size pores and high capillary pressure. All these physical properties make it an ideal candidate as a wick structure in a micro sized heat pipe/spreader. In this paper, experimental investigations evaluate heat transfer performance of the carbon nanotube (CNT) wick and demonstrate its ability to handle high heat flux cooling. The CNT wick structure used for high heat flux experiments employs the bi-wick structure design to overcome high flow resistance in CNT clusters. The wick fabrication technique integrates both microelect
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Miron, Geneviève, and Jean-Sébastien Plante. "Design of a Durable Air-Muscle With Integrated Sensor for Soft Robotics." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47872.

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Soft robotics integrates compliant actuators and sensors that expand design possibilities beyond classic robotics based on rigid modular components. In particular, deformable elastomer-based actuators used in soft robots, such as air-muscles, offer the possibility of having large numbers of embedded degrees of freedom. However, air-muscles fatigue life and strain capability call for a tradeoff, limiting their practical use in demanding applications such as physical rehabilitation, medical robotics, and mobile robots. This paper presents the design of a durable high-strain air-muscle composed o
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